Colby J. Sherwood

most citedA representation-theoretic computation of the rank of

1

-intersection incidence matrices:

2

-subsets vs.

n

-subsets

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math.CO2026

Clean handshake sequences

John Byrne, Colby Sherwood, Ioannis Tsokanos +1

After a basketball game, each of the $n$ players on Team A must shake hands with each of the $n$ players on Team B. What is the minimum number of (reversible, ambidextrous) gloves…

math.CO2022★ 2 cited

A representation-theoretic computation of the rank of $1$ -intersection incidence matrices: $2$ -subsets vs. $n$ -subsets

Joshua E. Ducey, Colby J. Sherwood

Let $W_{k, n}^{i} (m)$ denote a matrix with rows and columns indexed by the $k$ -subsets and $n$ -subsets, respectively, of an $m$ -element set. The row $S$ , column $T$ entry of $W_{k,n…

Clean handshake sequences

A representation-theoretic computation of the rank of 1-intersection incidence matrices: 2-subsets vs. n-subsets

A representation-theoretic computation of the rank of $1$ -intersection incidence matrices: $2$ -subsets vs. $n$ -subsets